1414428429960 has 384 divisors, whose sum is σ = 5693770817280. Its totient is φ = 296526956544.

The previous prime is 1414428429959. The next prime is 1414428429979. The reversal of 1414428429960 is 699248244141.

1414428429960 is a `hidden beast` number, since 1 + 4 + 14 + 4 + 284 + 299 + 60 = 666.

It is a super-2 number, since 2×1414428429960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1414428429897 and 1414428429906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5005819 + ... + 5280821.

It is an arithmetic number, because the mean of its divisors is an integer number (14827528170).

Almost surely, 2^{1414428429960} is an apocalyptic number.

1414428429960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414428429960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846885408640).

1414428429960 is an abundant number, since it is smaller than the sum of its proper divisors (4279342387320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1414428429960 is a wasteful number, since it uses less digits than its factorization.

1414428429960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275197 (or 275190 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1414428429960 in words is "one trillion, four hundred fourteen billion, four hundred twenty-eight million, four hundred twenty-nine thousand, nine hundred sixty".